Finding the Third Proportional to 77,658 and 123,159

Step by Step Solution

1. Step 1: Write the proportion equation
   77,658 : 123,159 = 123,159 : x
2. Step 2: Convert to fraction form
   77,658/123,159 = 123,159/x
3. Step 3: Cross multiply
   77,658x = 123,159 × 123,159
4. Step 4: Simplify right side
   77,658x = 15,168,139,281
5. Step 5: Solve for x
   x = 15,168,139,281/77,658
6. Step 6: Final answer
   x = 195,319.73