Finding the Third Proportional to 77,156 and 102,886

Step by Step Solution

1. Step 1: Write the proportion equation
   77,156 : 102,886 = 102,886 : x
2. Step 2: Convert to fraction form
   77,156/102,886 = 102,886/x
3. Step 3: Cross multiply
   77,156x = 102,886 × 102,886
4. Step 4: Simplify right side
   77,156x = 10,585,528,996
5. Step 5: Solve for x
   x = 10,585,528,996/77,156
6. Step 6: Final answer
   x = 137,196.45