Finding the Third Proportional to 100,040 and 152,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,040 : 152,600.50 = 152,600.50 : x
2. Step 2: Convert to fraction form
   100,040/152,600.50 = 152,600.50/x
3. Step 3: Cross multiply
   100,040x = 152,600.50 × 152,600.50
4. Step 4: Simplify right side
   100,040x = 23,286,912,600.25
5. Step 5: Solve for x
   x = 23,286,912,600.25/100,040
6. Step 6: Final answer
   x = 232,776.02