Finding the Third Proportional to 85,410 and 124,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,410 : 124,822.50 = 124,822.50 : x
2. Step 2: Convert to fraction form
   85,410/124,822.50 = 124,822.50/x
3. Step 3: Cross multiply
   85,410x = 124,822.50 × 124,822.50
4. Step 4: Simplify right side
   85,410x = 15,580,656,506.25
5. Step 5: Solve for x
   x = 15,580,656,506.25/85,410
6. Step 6: Final answer
   x = 182,421.92