Finding the Third Proportional to 117,688 and 180,064

Step by Step Solution

1. Step 1: Write the proportion equation
   117,688 : 180,064 = 180,064 : x
2. Step 2: Convert to fraction form
   117,688/180,064 = 180,064/x
3. Step 3: Cross multiply
   117,688x = 180,064 × 180,064
4. Step 4: Simplify right side
   117,688x = 32,423,044,096
5. Step 5: Solve for x
   x = 32,423,044,096/117,688
6. Step 6: Final answer
   x = 275,500.00