Finding the Third Proportional to 101,400 and 152,412

Step by Step Solution

1. Step 1: Write the proportion equation
   101,400 : 152,412 = 152,412 : x
2. Step 2: Convert to fraction form
   101,400/152,412 = 152,412/x
3. Step 3: Cross multiply
   101,400x = 152,412 × 152,412
4. Step 4: Simplify right side
   101,400x = 23,229,417,744
5. Step 5: Solve for x
   x = 23,229,417,744/101,400
6. Step 6: Final answer
   x = 229,086.96