Finding the Third Proportional to 100,310 and 152,435

Step by Step Solution

1. Step 1: Write the proportion equation
   100,310 : 152,435 = 152,435 : x
2. Step 2: Convert to fraction form
   100,310/152,435 = 152,435/x
3. Step 3: Cross multiply
   100,310x = 152,435 × 152,435
4. Step 4: Simplify right side
   100,310x = 23,236,429,225
5. Step 5: Solve for x
   x = 23,236,429,225/100,310
6. Step 6: Final answer
   x = 231,646.19