Finding the Third Proportional to 76,528.25 and 178,706

Step by Step Solution

1. Step 1: Write the proportion equation
   76,528.25 : 178,706 = 178,706 : x
2. Step 2: Convert to fraction form
   76,528.25/178,706 = 178,706/x
3. Step 3: Cross multiply
   76,528.25x = 178,706 × 178,706
4. Step 4: Simplify right side
   76,528.25x = 31,935,834,436
5. Step 5: Solve for x
   x = 31,935,834,436/76,528.25
6. Step 6: Final answer
   x = 417,307.78