Finding the Third Proportional to 117,627 and 183,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,627 : 183,462.50 = 183,462.50 : x
2. Step 2: Convert to fraction form
   117,627/183,462.50 = 183,462.50/x
3. Step 3: Cross multiply
   117,627x = 183,462.50 × 183,462.50
4. Step 4: Simplify right side
   117,627x = 33,658,488,906.25
5. Step 5: Solve for x
   x = 33,658,488,906.25/117,627
6. Step 6: Final answer
   x = 286,145.94