Finding the Third Proportional to 125,173 and 188,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,173 : 188,823.50 = 188,823.50 : x
2. Step 2: Convert to fraction form
   125,173/188,823.50 = 188,823.50/x
3. Step 3: Cross multiply
   125,173x = 188,823.50 × 188,823.50
4. Step 4: Simplify right side
   125,173x = 35,654,314,152.25
5. Step 5: Solve for x
   x = 35,654,314,152.25/125,173
6. Step 6: Final answer
   x = 284,840.29