Finding the Third Proportional to 71,200 and 151,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,200 : 151,602.50 = 151,602.50 : x
2. Step 2: Convert to fraction form
   71,200/151,602.50 = 151,602.50/x
3. Step 3: Cross multiply
   71,200x = 151,602.50 × 151,602.50
4. Step 4: Simplify right side
   71,200x = 22,983,318,006.25
5. Step 5: Solve for x
   x = 22,983,318,006.25/71,200
6. Step 6: Final answer
   x = 322,799.41