Finding the Third Proportional to 114,094.50 and 177,364

Step by Step Solution

1. Step 1: Write the proportion equation
   114,094.50 : 177,364 = 177,364 : x
2. Step 2: Convert to fraction form
   114,094.50/177,364 = 177,364/x
3. Step 3: Cross multiply
   114,094.50x = 177,364 × 177,364
4. Step 4: Simplify right side
   114,094.50x = 31,457,988,496
5. Step 5: Solve for x
   x = 31,457,988,496/114,094.50
6. Step 6: Final answer
   x = 275,718.71