Finding the Third Proportional to 52,875 and 110,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,875 : 110,938.50 = 110,938.50 : x
2. Step 2: Convert to fraction form
   52,875/110,938.50 = 110,938.50/x
3. Step 3: Cross multiply
   52,875x = 110,938.50 × 110,938.50
4. Step 4: Simplify right side
   52,875x = 12,307,350,782.25
5. Step 5: Solve for x
   x = 12,307,350,782.25/52,875
6. Step 6: Final answer
   x = 232,763.14