Finding the Third Proportional to 69,506 and 152,836

Step by Step Solution

1. Step 1: Write the proportion equation
   69,506 : 152,836 = 152,836 : x
2. Step 2: Convert to fraction form
   69,506/152,836 = 152,836/x
3. Step 3: Cross multiply
   69,506x = 152,836 × 152,836
4. Step 4: Simplify right side
   69,506x = 23,358,842,896
5. Step 5: Solve for x
   x = 23,358,842,896/69,506
6. Step 6: Final answer
   x = 336,069.45