Finding the Third Proportional to 78,373.50 and 177,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,373.50 : 177,384.50 = 177,384.50 : x
2. Step 2: Convert to fraction form
   78,373.50/177,384.50 = 177,384.50/x
3. Step 3: Cross multiply
   78,373.50x = 177,384.50 × 177,384.50
4. Step 4: Simplify right side
   78,373.50x = 31,465,260,840.25
5. Step 5: Solve for x
   x = 31,465,260,840.25/78,373.50
6. Step 6: Final answer
   x = 401,478.32