Finding the Third Proportional to 48,231 and 76,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,231 : 76,801.50 = 76,801.50 : x
2. Step 2: Convert to fraction form
   48,231/76,801.50 = 76,801.50/x
3. Step 3: Cross multiply
   48,231x = 76,801.50 × 76,801.50
4. Step 4: Simplify right side
   48,231x = 5,898,470,402.25
5. Step 5: Solve for x
   x = 5,898,470,402.25/48,231
6. Step 6: Final answer
   x = 122,296.25