Finding the Third Proportional to 67,827 and 99,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,827 : 99,779.50 = 99,779.50 : x
2. Step 2: Convert to fraction form
   67,827/99,779.50 = 99,779.50/x
3. Step 3: Cross multiply
   67,827x = 99,779.50 × 99,779.50
4. Step 4: Simplify right side
   67,827x = 9,955,948,620.25
5. Step 5: Solve for x
   x = 9,955,948,620.25/67,827
6. Step 6: Final answer
   x = 146,784.45