Finding the Third Proportional to 100,777.50 and 152,300.25

Step by Step Solution

1. Step 1: Write the proportion equation
   100,777.50 : 152,300.25 = 152,300.25 : x
2. Step 2: Convert to fraction form
   100,777.50/152,300.25 = 152,300.25/x
3. Step 3: Cross multiply
   100,777.50x = 152,300.25 × 152,300.25
4. Step 4: Simplify right side
   100,777.50x = 23,195,366,150.06
5. Step 5: Solve for x
   x = 23,195,366,150.06/100,777.50
6. Step 6: Final answer
   x = 230,164.14