Finding the Third Proportional to 77,592 and 123,972

Step by Step Solution

1. Step 1: Write the proportion equation
   77,592 : 123,972 = 123,972 : x
2. Step 2: Convert to fraction form
   77,592/123,972 = 123,972/x
3. Step 3: Cross multiply
   77,592x = 123,972 × 123,972
4. Step 4: Simplify right side
   77,592x = 15,369,056,784
5. Step 5: Solve for x
   x = 15,369,056,784/77,592
6. Step 6: Final answer
   x = 198,075.28