Finding the Third Proportional to 76,617 and 178,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,617 : 178,042.50 = 178,042.50 : x
2. Step 2: Convert to fraction form
   76,617/178,042.50 = 178,042.50/x
3. Step 3: Cross multiply
   76,617x = 178,042.50 × 178,042.50
4. Step 4: Simplify right side
   76,617x = 31,699,131,806.25
5. Step 5: Solve for x
   x = 31,699,131,806.25/76,617
6. Step 6: Final answer
   x = 413,734.96