Finding the Third Proportional to 36,228 and 77,812.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,228 : 77,812.50 = 77,812.50 : x
2. Step 2: Convert to fraction form
   36,228/77,812.50 = 77,812.50/x
3. Step 3: Cross multiply
   36,228x = 77,812.50 × 77,812.50
4. Step 4: Simplify right side
   36,228x = 6,054,785,156.25
5. Step 5: Solve for x
   x = 6,054,785,156.25/36,228
6. Step 6: Final answer
   x = 167,129.99