Finding the Third Proportional to 123,632 and 185,363

Step by Step Solution

1. Step 1: Write the proportion equation
   123,632 : 185,363 = 185,363 : x
2. Step 2: Convert to fraction form
   123,632/185,363 = 185,363/x
3. Step 3: Cross multiply
   123,632x = 185,363 × 185,363
4. Step 4: Simplify right side
   123,632x = 34,359,441,769
5. Step 5: Solve for x
   x = 34,359,441,769/123,632
6. Step 6: Final answer
   x = 277,917.06