Finding the Third Proportional to 65,407.50 and 152,948.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,407.50 : 152,948.25 = 152,948.25 : x
2. Step 2: Convert to fraction form
   65,407.50/152,948.25 = 152,948.25/x
3. Step 3: Cross multiply
   65,407.50x = 152,948.25 × 152,948.25
4. Step 4: Simplify right side
   65,407.50x = 23,393,167,178.06
5. Step 5: Solve for x
   x = 23,393,167,178.06/65,407.50
6. Step 6: Final answer
   x = 357,652.67