Finding the Third Proportional to 117,796.50 and 187,619.25

Step by Step Solution

1. Step 1: Write the proportion equation
   117,796.50 : 187,619.25 = 187,619.25 : x
2. Step 2: Convert to fraction form
   117,796.50/187,619.25 = 187,619.25/x
3. Step 3: Cross multiply
   117,796.50x = 187,619.25 × 187,619.25
4. Step 4: Simplify right side
   117,796.50x = 35,200,982,970.56
5. Step 5: Solve for x
   x = 35,200,982,970.56/117,796.50
6. Step 6: Final answer
   x = 298,828.77