Finding the Third Proportional to 42,423 and 91,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,423 : 91,402.50 = 91,402.50 : x
2. Step 2: Convert to fraction form
   42,423/91,402.50 = 91,402.50/x
3. Step 3: Cross multiply
   42,423x = 91,402.50 × 91,402.50
4. Step 4: Simplify right side
   42,423x = 8,354,417,006.25
5. Step 5: Solve for x
   x = 8,354,417,006.25/42,423
6. Step 6: Final answer
   x = 196,931.31