Finding the Third Proportional to 52,272 and 123,376

Step by Step Solution

1. Step 1: Write the proportion equation
   52,272 : 123,376 = 123,376 : x
2. Step 2: Convert to fraction form
   52,272/123,376 = 123,376/x
3. Step 3: Cross multiply
   52,272x = 123,376 × 123,376
4. Step 4: Simplify right side
   52,272x = 15,221,637,376
5. Step 5: Solve for x
   x = 15,221,637,376/52,272
6. Step 6: Final answer
   x = 291,200.59