Finding the Third Proportional to 103,637 and 137,566

Step by Step Solution

1. Step 1: Write the proportion equation
   103,637 : 137,566 = 137,566 : x
2. Step 2: Convert to fraction form
   103,637/137,566 = 137,566/x
3. Step 3: Cross multiply
   103,637x = 137,566 × 137,566
4. Step 4: Simplify right side
   103,637x = 18,924,404,356
5. Step 5: Solve for x
   x = 18,924,404,356/103,637
6. Step 6: Final answer
   x = 182,602.78