Finding the Third Proportional to 104,024 and 152,332

Step by Step Solution

1. Step 1: Write the proportion equation
   104,024 : 152,332 = 152,332 : x
2. Step 2: Convert to fraction form
   104,024/152,332 = 152,332/x
3. Step 3: Cross multiply
   104,024x = 152,332 × 152,332
4. Step 4: Simplify right side
   104,024x = 23,205,038,224
5. Step 5: Solve for x
   x = 23,205,038,224/104,024
6. Step 6: Final answer
   x = 223,073.89