Finding the Third Proportional to 52,985 and 116,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,985 : 116,427.50 = 116,427.50 : x
2. Step 2: Convert to fraction form
   52,985/116,427.50 = 116,427.50/x
3. Step 3: Cross multiply
   52,985x = 116,427.50 × 116,427.50
4. Step 4: Simplify right side
   52,985x = 13,555,362,756.25
5. Step 5: Solve for x
   x = 13,555,362,756.25/52,985
6. Step 6: Final answer
   x = 255,833.97