Finding the Third Proportional to 77,983 and 117,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,983 : 117,528.50 = 117,528.50 : x
2. Step 2: Convert to fraction form
   77,983/117,528.50 = 117,528.50/x
3. Step 3: Cross multiply
   77,983x = 117,528.50 × 117,528.50
4. Step 4: Simplify right side
   77,983x = 13,812,948,312.25
5. Step 5: Solve for x
   x = 13,812,948,312.25/77,983
6. Step 6: Final answer
   x = 177,127.69