Finding the Third Proportional to 69,739 and 152,437

Step by Step Solution

1. Step 1: Write the proportion equation
   69,739 : 152,437 = 152,437 : x
2. Step 2: Convert to fraction form
   69,739/152,437 = 152,437/x
3. Step 3: Cross multiply
   69,739x = 152,437 × 152,437
4. Step 4: Simplify right side
   69,739x = 23,237,038,969
5. Step 5: Solve for x
   x = 23,237,038,969/69,739
6. Step 6: Final answer
   x = 333,200.06