Finding the Third Proportional to 100,075.50 and 146,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,075.50 : 146,164.50 = 146,164.50 : x
2. Step 2: Convert to fraction form
   100,075.50/146,164.50 = 146,164.50/x
3. Step 3: Cross multiply
   100,075.50x = 146,164.50 × 146,164.50
4. Step 4: Simplify right side
   100,075.50x = 21,364,061,060.25
5. Step 5: Solve for x
   x = 21,364,061,060.25/100,075.50
6. Step 6: Final answer
   x = 213,479.43