Finding the Third Proportional to 118,213 and 181,706

Step by Step Solution

1. Step 1: Write the proportion equation
   118,213 : 181,706 = 181,706 : x
2. Step 2: Convert to fraction form
   118,213/181,706 = 181,706/x
3. Step 3: Cross multiply
   118,213x = 181,706 × 181,706
4. Step 4: Simplify right side
   118,213x = 33,017,070,436
5. Step 5: Solve for x
   x = 33,017,070,436/118,213
6. Step 6: Final answer
   x = 279,301.52