Finding the Third Proportional to 83,358 and 177,650

Step by Step Solution

1. Step 1: Write the proportion equation
   83,358 : 177,650 = 177,650 : x
2. Step 2: Convert to fraction form
   83,358/177,650 = 177,650/x
3. Step 3: Cross multiply
   83,358x = 177,650 × 177,650
4. Step 4: Simplify right side
   83,358x = 31,559,522,500
5. Step 5: Solve for x
   x = 31,559,522,500/83,358
6. Step 6: Final answer
   x = 378,602.20