Finding the Third Proportional to 116,824.50 and 177,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,824.50 : 177,547.50 = 177,547.50 : x
2. Step 2: Convert to fraction form
   116,824.50/177,547.50 = 177,547.50/x
3. Step 3: Cross multiply
   116,824.50x = 177,547.50 × 177,547.50
4. Step 4: Simplify right side
   116,824.50x = 31,523,114,756.25
5. Step 5: Solve for x
   x = 31,523,114,756.25/116,824.50
6. Step 6: Final answer
   x = 269,833.08