Finding the Third Proportional to 116,419.50 and 178,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,419.50 : 178,012.50 = 178,012.50 : x
2. Step 2: Convert to fraction form
   116,419.50/178,012.50 = 178,012.50/x
3. Step 3: Cross multiply
   116,419.50x = 178,012.50 × 178,012.50
4. Step 4: Simplify right side
   116,419.50x = 31,688,450,156.25
5. Step 5: Solve for x
   x = 31,688,450,156.25/116,419.50
6. Step 6: Final answer
   x = 272,191.95