Finding the Third Proportional to 130,623 and 195,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,623 : 195,427.50 = 195,427.50 : x
2. Step 2: Convert to fraction form
   130,623/195,427.50 = 195,427.50/x
3. Step 3: Cross multiply
   130,623x = 195,427.50 × 195,427.50
4. Step 4: Simplify right side
   130,623x = 38,191,907,756.25
5. Step 5: Solve for x
   x = 38,191,907,756.25/130,623
6. Step 6: Final answer
   x = 292,382.72