Finding the Third Proportional to 77,769.50 and 105,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,769.50 : 105,528.50 = 105,528.50 : x
2. Step 2: Convert to fraction form
   77,769.50/105,528.50 = 105,528.50/x
3. Step 3: Cross multiply
   77,769.50x = 105,528.50 × 105,528.50
4. Step 4: Simplify right side
   77,769.50x = 11,136,264,312.25
5. Step 5: Solve for x
   x = 11,136,264,312.25/77,769.50
6. Step 6: Final answer
   x = 143,195.78