Finding the Third Proportional to 172,068 and 377,181

Step by Step Solution

1. Step 1: Write the proportion equation
   172,068 : 377,181 = 377,181 : x
2. Step 2: Convert to fraction form
   172,068/377,181 = 377,181/x
3. Step 3: Cross multiply
   172,068x = 377,181 × 377,181
4. Step 4: Simplify right side
   172,068x = 142,265,506,761
5. Step 5: Solve for x
   x = 142,265,506,761/172,068
6. Step 6: Final answer
   x = 826,798.17