Finding the Third Proportional to 116,889 and 165,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,889 : 165,395.50 = 165,395.50 : x
2. Step 2: Convert to fraction form
   116,889/165,395.50 = 165,395.50/x
3. Step 3: Cross multiply
   116,889x = 165,395.50 × 165,395.50
4. Step 4: Simplify right side
   116,889x = 27,355,671,420.25
5. Step 5: Solve for x
   x = 27,355,671,420.25/116,889
6. Step 6: Final answer
   x = 234,031.19