Finding the Third Proportional to 69,419 and 152,086

Step by Step Solution

1. Step 1: Write the proportion equation
   69,419 : 152,086 = 152,086 : x
2. Step 2: Convert to fraction form
   69,419/152,086 = 152,086/x
3. Step 3: Cross multiply
   69,419x = 152,086 × 152,086
4. Step 4: Simplify right side
   69,419x = 23,130,151,396
5. Step 5: Solve for x
   x = 23,130,151,396/69,419
6. Step 6: Final answer
   x = 333,196.26