Finding the Third Proportional to 69,675 and 152,438

Step by Step Solution

1. Step 1: Write the proportion equation
   69,675 : 152,438 = 152,438 : x
2. Step 2: Convert to fraction form
   69,675/152,438 = 152,438/x
3. Step 3: Cross multiply
   69,675x = 152,438 × 152,438
4. Step 4: Simplify right side
   69,675x = 23,237,343,844
5. Step 5: Solve for x
   x = 23,237,343,844/69,675
6. Step 6: Final answer
   x = 333,510.50