Finding the Third Proportional to 116,688 and 180,214.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,688 : 180,214.50 = 180,214.50 : x
2. Step 2: Convert to fraction form
   116,688/180,214.50 = 180,214.50/x
3. Step 3: Cross multiply
   116,688x = 180,214.50 × 180,214.50
4. Step 4: Simplify right side
   116,688x = 32,477,266,010.25
5. Step 5: Solve for x
   x = 32,477,266,010.25/116,688
6. Step 6: Final answer
   x = 278,325.67