Finding the Third Proportional to 100,458 and 151,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,458 : 151,987.50 = 151,987.50 : x
2. Step 2: Convert to fraction form
   100,458/151,987.50 = 151,987.50/x
3. Step 3: Cross multiply
   100,458x = 151,987.50 × 151,987.50
4. Step 4: Simplify right side
   100,458x = 23,100,200,156.25
5. Step 5: Solve for x
   x = 23,100,200,156.25/100,458
6. Step 6: Final answer
   x = 229,948.84