Finding the Third Proportional to 85,534 and 123,209

Step by Step Solution

1. Step 1: Write the proportion equation
   85,534 : 123,209 = 123,209 : x
2. Step 2: Convert to fraction form
   85,534/123,209 = 123,209/x
3. Step 3: Cross multiply
   85,534x = 123,209 × 123,209
4. Step 4: Simplify right side
   85,534x = 15,180,457,681
5. Step 5: Solve for x
   x = 15,180,457,681/85,534
6. Step 6: Final answer
   x = 177,478.64