Finding the Third Proportional to 116,757 and 181,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,757 : 181,156.50 = 181,156.50 : x
2. Step 2: Convert to fraction form
   116,757/181,156.50 = 181,156.50/x
3. Step 3: Cross multiply
   116,757x = 181,156.50 × 181,156.50
4. Step 4: Simplify right side
   116,757x = 32,817,677,492.25
5. Step 5: Solve for x
   x = 32,817,677,492.25/116,757
6. Step 6: Final answer
   x = 281,076.74