Finding the Third Proportional to 77,501 and 109,694

Step by Step Solution

1. Step 1: Write the proportion equation
   77,501 : 109,694 = 109,694 : x
2. Step 2: Convert to fraction form
   77,501/109,694 = 109,694/x
3. Step 3: Cross multiply
   77,501x = 109,694 × 109,694
4. Step 4: Simplify right side
   77,501x = 12,032,773,636
5. Step 5: Solve for x
   x = 12,032,773,636/77,501
6. Step 6: Final answer
   x = 155,259.59