Finding the Third Proportional to 90,871 and 137,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,871 : 137,941.50 = 137,941.50 : x
2. Step 2: Convert to fraction form
   90,871/137,941.50 = 137,941.50/x
3. Step 3: Cross multiply
   90,871x = 137,941.50 × 137,941.50
4. Step 4: Simplify right side
   90,871x = 19,027,857,422.25
5. Step 5: Solve for x
   x = 19,027,857,422.25/90,871
6. Step 6: Final answer
   x = 209,394.17