Finding the Third Proportional to 42,778 and 99,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,778 : 99,947.50 = 99,947.50 : x
2. Step 2: Convert to fraction form
   42,778/99,947.50 = 99,947.50/x
3. Step 3: Cross multiply
   42,778x = 99,947.50 × 99,947.50
4. Step 4: Simplify right side
   42,778x = 9,989,502,756.25
5. Step 5: Solve for x
   x = 9,989,502,756.25/42,778
6. Step 6: Final answer
   x = 233,519.63