Finding the Third Proportional to 123,358 and 185,035

Step by Step Solution

1. Step 1: Write the proportion equation
   123,358 : 185,035 = 185,035 : x
2. Step 2: Convert to fraction form
   123,358/185,035 = 185,035/x
3. Step 3: Cross multiply
   123,358x = 185,035 × 185,035
4. Step 4: Simplify right side
   123,358x = 34,237,951,225
5. Step 5: Solve for x
   x = 34,237,951,225/123,358
6. Step 6: Final answer
   x = 277,549.50