Finding the Third Proportional to 71,401 and 107,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,401 : 107,047.50 = 107,047.50 : x
2. Step 2: Convert to fraction form
   71,401/107,047.50 = 107,047.50/x
3. Step 3: Cross multiply
   71,401x = 107,047.50 × 107,047.50
4. Step 4: Simplify right side
   71,401x = 11,459,167,256.25
5. Step 5: Solve for x
   x = 11,459,167,256.25/71,401
6. Step 6: Final answer
   x = 160,490.29