Finding the Third Proportional to 42,977 and 92,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,977 : 92,301.50 = 92,301.50 : x
2. Step 2: Convert to fraction form
   42,977/92,301.50 = 92,301.50/x
3. Step 3: Cross multiply
   42,977x = 92,301.50 × 92,301.50
4. Step 4: Simplify right side
   42,977x = 8,519,566,902.25
5. Step 5: Solve for x
   x = 8,519,566,902.25/42,977
6. Step 6: Final answer
   x = 198,235.50