Finding the Third Proportional to 53,148 and 116,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,148 : 116,662.50 = 116,662.50 : x
2. Step 2: Convert to fraction form
   53,148/116,662.50 = 116,662.50/x
3. Step 3: Cross multiply
   53,148x = 116,662.50 × 116,662.50
4. Step 4: Simplify right side
   53,148x = 13,610,138,906.25
5. Step 5: Solve for x
   x = 13,610,138,906.25/53,148
6. Step 6: Final answer
   x = 256,079.98