Finding the Third Proportional to 69,414 and 152,076

Step by Step Solution

1. Step 1: Write the proportion equation
   69,414 : 152,076 = 152,076 : x
2. Step 2: Convert to fraction form
   69,414/152,076 = 152,076/x
3. Step 3: Cross multiply
   69,414x = 152,076 × 152,076
4. Step 4: Simplify right side
   69,414x = 23,127,109,776
5. Step 5: Solve for x
   x = 23,127,109,776/69,414
6. Step 6: Final answer
   x = 333,176.45