Finding the Third Proportional to 69,624 and 152,604

Step by Step Solution

1. Step 1: Write the proportion equation
   69,624 : 152,604 = 152,604 : x
2. Step 2: Convert to fraction form
   69,624/152,604 = 152,604/x
3. Step 3: Cross multiply
   69,624x = 152,604 × 152,604
4. Step 4: Simplify right side
   69,624x = 23,287,980,816
5. Step 5: Solve for x
   x = 23,287,980,816/69,624
6. Step 6: Final answer
   x = 334,482.09