Finding the Third Proportional to 75,100.50 and 152,273.25

Step by Step Solution

1. Step 1: Write the proportion equation
   75,100.50 : 152,273.25 = 152,273.25 : x
2. Step 2: Convert to fraction form
   75,100.50/152,273.25 = 152,273.25/x
3. Step 3: Cross multiply
   75,100.50x = 152,273.25 × 152,273.25
4. Step 4: Simplify right side
   75,100.50x = 23,187,142,665.56
5. Step 5: Solve for x
   x = 23,187,142,665.56/75,100.50
6. Step 6: Final answer
   x = 308,748.18