Finding the Third Proportional to 171,985,206,518 and 377,030,294,766

Step by Step Solution

1. Step 1: Write the proportion equation
   171,985,206,518 : 377,030,294,766 = 377,030,294,766 : x
2. Step 2: Convert to fraction form
   171,985,206,518/377,030,294,766 = 377,030,294,766/x
3. Step 3: Cross multiply
   171,985,206,518x = 377,030,294,766 × 377,030,294,766
4. Step 4: Simplify right side
   171,985,206,518x = 142,151,843,171,336,842,117,120
5. Step 5: Solve for x
   x = 142,151,843,171,336,842,117,120/171,985,206,518
6. Step 6: Final answer
   x = 826,535,293,641.43