Finding the Third Proportional to 78,348 and 176,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,348 : 176,983.50 = 176,983.50 : x
2. Step 2: Convert to fraction form
   78,348/176,983.50 = 176,983.50/x
3. Step 3: Cross multiply
   78,348x = 176,983.50 × 176,983.50
4. Step 4: Simplify right side
   78,348x = 31,323,159,272.25
5. Step 5: Solve for x
   x = 31,323,159,272.25/78,348
6. Step 6: Final answer
   x = 399,795.26