Finding the Third Proportional to 100,861 and 137,047

Step by Step Solution

1. Step 1: Write the proportion equation
   100,861 : 137,047 = 137,047 : x
2. Step 2: Convert to fraction form
   100,861/137,047 = 137,047/x
3. Step 3: Cross multiply
   100,861x = 137,047 × 137,047
4. Step 4: Simplify right side
   100,861x = 18,781,880,209
5. Step 5: Solve for x
   x = 18,781,880,209/100,861
6. Step 6: Final answer
   x = 186,215.49