Finding the Third Proportional to 48,523 and 77,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,523 : 77,158.50 = 77,158.50 : x
2. Step 2: Convert to fraction form
   48,523/77,158.50 = 77,158.50/x
3. Step 3: Cross multiply
   48,523x = 77,158.50 × 77,158.50
4. Step 4: Simplify right side
   48,523x = 5,953,434,122.25
5. Step 5: Solve for x
   x = 5,953,434,122.25/48,523
6. Step 6: Final answer
   x = 122,693.03