Finding the Third Proportional to 117,213 and 181,611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,213 : 181,611.50 = 181,611.50 : x
2. Step 2: Convert to fraction form
   117,213/181,611.50 = 181,611.50/x
3. Step 3: Cross multiply
   117,213x = 181,611.50 × 181,611.50
4. Step 4: Simplify right side
   117,213x = 32,982,736,932.25
5. Step 5: Solve for x
   x = 32,982,736,932.25/117,213
6. Step 6: Final answer
   x = 281,391.46