Finding the Third Proportional to 100,811 and 152,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,811 : 152,026.50 = 152,026.50 : x
2. Step 2: Convert to fraction form
   100,811/152,026.50 = 152,026.50/x
3. Step 3: Cross multiply
   100,811x = 152,026.50 × 152,026.50
4. Step 4: Simplify right side
   100,811x = 23,112,056,702.25
5. Step 5: Solve for x
   x = 23,112,056,702.25/100,811
6. Step 6: Final answer
   x = 229,261.26