Finding the Third Proportional to 80,346 and 114,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,346 : 114,781.50 = 114,781.50 : x
2. Step 2: Convert to fraction form
   80,346/114,781.50 = 114,781.50/x
3. Step 3: Cross multiply
   80,346x = 114,781.50 × 114,781.50
4. Step 4: Simplify right side
   80,346x = 13,174,792,742.25
5. Step 5: Solve for x
   x = 13,174,792,742.25/80,346
6. Step 6: Final answer
   x = 163,975.71