Finding the Third Proportional to 95,985 and 142,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,985 : 142,977.50 = 142,977.50 : x
2. Step 2: Convert to fraction form
   95,985/142,977.50 = 142,977.50/x
3. Step 3: Cross multiply
   95,985x = 142,977.50 × 142,977.50
4. Step 4: Simplify right side
   95,985x = 20,442,565,506.25
5. Step 5: Solve for x
   x = 20,442,565,506.25/95,985
6. Step 6: Final answer
   x = 212,976.67