Finding the Third Proportional to 85,429 and 136,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,429 : 136,039.50 = 136,039.50 : x
2. Step 2: Convert to fraction form
   85,429/136,039.50 = 136,039.50/x
3. Step 3: Cross multiply
   85,429x = 136,039.50 × 136,039.50
4. Step 4: Simplify right side
   85,429x = 18,506,745,560.25
5. Step 5: Solve for x
   x = 18,506,745,560.25/85,429
6. Step 6: Final answer
   x = 216,633.06