Finding the Third Proportional to 100,526 and 153,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,526 : 153,147.50 = 153,147.50 : x
2. Step 2: Convert to fraction form
   100,526/153,147.50 = 153,147.50/x
3. Step 3: Cross multiply
   100,526x = 153,147.50 × 153,147.50
4. Step 4: Simplify right side
   100,526x = 23,454,156,756.25
5. Step 5: Solve for x
   x = 23,454,156,756.25/100,526
6. Step 6: Final answer
   x = 233,314.33