Finding the Third Proportional to 49,094 and 105,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,094 : 105,702.50 = 105,702.50 : x
2. Step 2: Convert to fraction form
   49,094/105,702.50 = 105,702.50/x
3. Step 3: Cross multiply
   49,094x = 105,702.50 × 105,702.50
4. Step 4: Simplify right side
   49,094x = 11,173,018,506.25
5. Step 5: Solve for x
   x = 11,173,018,506.25/49,094
6. Step 6: Final answer
   x = 227,584.20