Finding the Third Proportional to 78,818 and 172,948

Step by Step Solution

1. Step 1: Write the proportion equation
   78,818 : 172,948 = 172,948 : x
2. Step 2: Convert to fraction form
   78,818/172,948 = 172,948/x
3. Step 3: Cross multiply
   78,818x = 172,948 × 172,948
4. Step 4: Simplify right side
   78,818x = 29,911,010,704
5. Step 5: Solve for x
   x = 29,911,010,704/78,818
6. Step 6: Final answer
   x = 379,494.67