Finding the Third Proportional to 42,165.50 and 90,309

Step by Step Solution

1. Step 1: Write the proportion equation
   42,165.50 : 90,309 = 90,309 : x
2. Step 2: Convert to fraction form
   42,165.50/90,309 = 90,309/x
3. Step 3: Cross multiply
   42,165.50x = 90,309 × 90,309
4. Step 4: Simplify right side
   42,165.50x = 8,155,715,481
5. Step 5: Solve for x
   x = 8,155,715,481/42,165.50
6. Step 6: Final answer
   x = 193,421.53