Finding the Third Proportional to 77,748 and 123,772

Step by Step Solution

1. Step 1: Write the proportion equation
   77,748 : 123,772 = 123,772 : x
2. Step 2: Convert to fraction form
   77,748/123,772 = 123,772/x
3. Step 3: Cross multiply
   77,748x = 123,772 × 123,772
4. Step 4: Simplify right side
   77,748x = 15,319,507,984
5. Step 5: Solve for x
   x = 15,319,507,984/77,748
6. Step 6: Final answer
   x = 197,040.54