Finding the Third Proportional to 83,724 and 117,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,724 : 117,109.50 = 117,109.50 : x
2. Step 2: Convert to fraction form
   83,724/117,109.50 = 117,109.50/x
3. Step 3: Cross multiply
   83,724x = 117,109.50 × 117,109.50
4. Step 4: Simplify right side
   83,724x = 13,714,634,990.25
5. Step 5: Solve for x
   x = 13,714,634,990.25/83,724
6. Step 6: Final answer
   x = 163,807.69