Finding the Third Proportional to 78,971.50 and 186,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,971.50 : 186,424.50 = 186,424.50 : x
2. Step 2: Convert to fraction form
   78,971.50/186,424.50 = 186,424.50/x
3. Step 3: Cross multiply
   78,971.50x = 186,424.50 × 186,424.50
4. Step 4: Simplify right side
   78,971.50x = 34,754,094,200.25
5. Step 5: Solve for x
   x = 34,754,094,200.25/78,971.50
6. Step 6: Final answer
   x = 440,084.01