Finding the Third Proportional to 100,413 and 146,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,413 : 146,587.50 = 146,587.50 : x
2. Step 2: Convert to fraction form
   100,413/146,587.50 = 146,587.50/x
3. Step 3: Cross multiply
   100,413x = 146,587.50 × 146,587.50
4. Step 4: Simplify right side
   100,413x = 21,487,895,156.25
5. Step 5: Solve for x
   x = 21,487,895,156.25/100,413
6. Step 6: Final answer
   x = 213,995.15