Finding the Third Proportional to 78,972 and 186,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,972 : 186,425.50 = 186,425.50 : x
2. Step 2: Convert to fraction form
   78,972/186,425.50 = 186,425.50/x
3. Step 3: Cross multiply
   78,972x = 186,425.50 × 186,425.50
4. Step 4: Simplify right side
   78,972x = 34,754,467,050.25
5. Step 5: Solve for x
   x = 34,754,467,050.25/78,972
6. Step 6: Final answer
   x = 440,085.94