Finding the Third Proportional to 116,250 and 164,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,250 : 164,539.50 = 164,539.50 : x
2. Step 2: Convert to fraction form
   116,250/164,539.50 = 164,539.50/x
3. Step 3: Cross multiply
   116,250x = 164,539.50 × 164,539.50
4. Step 4: Simplify right side
   116,250x = 27,073,247,060.25
5. Step 5: Solve for x
   x = 27,073,247,060.25/116,250
6. Step 6: Final answer
   x = 232,888.15