Finding the Third Proportional to 78,813 and 172,955.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,813 : 172,955.25 = 172,955.25 : x
2. Step 2: Convert to fraction form
   78,813/172,955.25 = 172,955.25/x
3. Step 3: Cross multiply
   78,813x = 172,955.25 × 172,955.25
4. Step 4: Simplify right side
   78,813x = 29,913,518,502.56
5. Step 5: Solve for x
   x = 29,913,518,502.56/78,813
6. Step 6: Final answer
   x = 379,550.56