Finding the Third Proportional to 77,580 and 123,038

Step by Step Solution

1. Step 1: Write the proportion equation
   77,580 : 123,038 = 123,038 : x
2. Step 2: Convert to fraction form
   77,580/123,038 = 123,038/x
3. Step 3: Cross multiply
   77,580x = 123,038 × 123,038
4. Step 4: Simplify right side
   77,580x = 15,138,349,444
5. Step 5: Solve for x
   x = 15,138,349,444/77,580
6. Step 6: Final answer
   x = 195,132.11