Finding the Third Proportional to 69,416 and 152,080

Step by Step Solution

1. Step 1: Write the proportion equation
   69,416 : 152,080 = 152,080 : x
2. Step 2: Convert to fraction form
   69,416/152,080 = 152,080/x
3. Step 3: Cross multiply
   69,416x = 152,080 × 152,080
4. Step 4: Simplify right side
   69,416x = 23,128,326,400
5. Step 5: Solve for x
   x = 23,128,326,400/69,416
6. Step 6: Final answer
   x = 333,184.37