Finding the Third Proportional to 48,157.50 and 116,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,157.50 : 116,014.50 = 116,014.50 : x
2. Step 2: Convert to fraction form
   48,157.50/116,014.50 = 116,014.50/x
3. Step 3: Cross multiply
   48,157.50x = 116,014.50 × 116,014.50
4. Step 4: Simplify right side
   48,157.50x = 13,459,364,210.25
5. Step 5: Solve for x
   x = 13,459,364,210.25/48,157.50
6. Step 6: Final answer
   x = 279,486.36